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Using Integral Calculus b * W- Sa f(x) dx using Integral calculus 4. A rope is...
You are using a rope to lift a 14.5 kg crate of fruit. Initially you are lifting the crate at 0.500 m/s. You then increase the tension in the rope to 190 N and lift the crate an additional 1.25 m. a) During this d motion, how much work is done on the crate by the tension force? b) Find the work done by the force of gravity. c) Find the work done by the net force? d) What is...
Please answer all questions, and I will rate you well! Thanks :) 2. 12/18 points | Previous Answers SCalcET8 6.4.013.MI My Note A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 ft high. (Let x be the distance in feet below the top of the building. Enter xas x,.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the...
You are using a rope to lift a 14.5 kg crate of fruit. Initially you are lifting the crate at 0.500 m/s. You then increase the tension in the rope to 190 N and lift the Grate an additional 1.15 m. During this d motion, how much work is done on the crate by the tension force? Express your answer with the appropriate units ! Å * OO? W Value Units Submit Request Answer Part D Find the work done...
A 45 kg cart is pulled along by a rope that applies a 120 N force at 30 degree. How much work is done by the 120 N force as the cart moves 7 m? If the friction force on the cart is 50 N, how much work is done by the friction force? How much work is done by gravity? What is the net work done on the cart? If the initial speed of the cart was 5 m/s,...
4. Another approximation for integrals is the Trapezoid Rule: integral (a to b)f(x) dx ≈ ∆x/2 (f(x_0) + 2f(x_1) + 2f(x_2) + · · · + 2f(x_n−2) + 2f(x_(n−1)) + f(x_n)) There is a built-in function trapz in the package scipy.integrate (refer to the Overview for importing and using this and the next command). (a) Compute the Trapezoid approximation using n = 100 subintervals. (b) Is the Trapezoid approximation equal to the average of the Left and Right Endpoint approximations?...
A rooe is tied to a box and used to pull the box A rope is tied to a box and used to pull the box 1.9 m along a horizontal floor. The rope makes an angle of 30° with the horizontal and has a tension of 5 N. The opposing friction force between the box and the floor is 1 N Part A How much work does gravity do on the box? Express your answer in Joules to one...
please using first equation , solve the second integral S2f(x)dx = 10 olarak verilsin. $* f(b) f(bx) dx
(b) Let F(r) be a force vector so that the line integral F(r)r is the work W done by F(r) along the curve C with parametric representation r(r) which is the displacement vector. Let m be the mass of the object. Prove that the work done on the object within te[to4 satisfies the equation W- cF(r).dr-îm v(r 2Г which states the work energy theorem: work done on an object equals to the change of kinetic energy (Hint I: Newton's second...
Help me to solve three questions Question 4, 5,6 y a person who rises at constant to the first floor (a) by using the g a rope. Does the amount of on the method conclude about liil Tun velocity? 12. Give an example in which the work done by the force of kinetic friction is (a) negative, and (b) positive. 9. (1) wor off along a frictionless horizontal s at 37 above the horizontal. force on the block? man initial...
10. Let and consider approximating its average value on the interval (0,2) given by the integral 4-2 dx. 0 (a) Use Calculus to show that the the exact answer is π/2. (Hint: You may want to substitute 2 sin , and later use the trignometric identify cos(20)-1-2 cos2 θ). (b) Assume r is uniformly distributed in (0,2). What is the expected value, E f ()] How is the formula for expected value related to the expression given by expression in...